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A332512 Numbers k such that phi(k) == 0 (mod 12), where phi is the Euler totient function (A000010). 6
13, 21, 26, 28, 35, 36, 37, 39, 42, 45, 52, 56, 57, 61, 63, 65, 70, 72, 73, 74, 76, 77, 78, 84, 90, 91, 93, 95, 97, 99, 104, 105, 108, 109, 111, 112, 114, 117, 119, 122, 124, 126, 129, 130, 133, 135, 140, 143, 144, 146, 147, 148, 152, 153, 154, 155, 156, 157, 161 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Dence and Pomerance showed that the asymptotic number of the terms below x is ~ x.

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

Thomas Dence and Carl Pomerance, Euler's function in residue classes, in: K. Alladi, P. D. T. A. Elliott, A. Granville and G. Tenebaum (eds.), Analytic and Elementary Number Theory, Developments in Mathematics, Vol. 1, Springer, Boston, MA, 1998, pp. 7-20, alternative link.

EXAMPLE

13 is a term since phi(13) = 12 == 0 (mod 12).

MATHEMATICA

Select[Range[200], Divisible[EulerPhi[#], 12] &]

PROG

(MAGMA) [k:k in [1..170]| EulerPhi(k) mod 12 eq 0]; // Marius A. Burtea, Feb 14 2020

CROSSREFS

Cf. A000010, A008594, A332511, A332513, A332514, A332515, A332516.

Sequence in context: A260747 A032693 A049745 * A304006 A304948 A087683

Adjacent sequences:  A332509 A332510 A332511 * A332513 A332514 A332515

KEYWORD

nonn

AUTHOR

Amiram Eldar, Feb 14 2020

STATUS

approved

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Last modified January 15 12:54 EST 2021. Contains 340187 sequences. (Running on oeis4.)